Write all the other trigonometric ratios of ∠ A in terms of sec A
SinA can be expressed in terms of sec A as:
sinA = √sin2A
= √(1 -cos2A)
= √[1 - (1/cos2A)]
= √[(sec2A -1)/sec2A]
= [√(sec2A -1)]/secA
Now,
cosA can be expressed in terms of secA as:
cosA =
TanA can be expressed in the form of secA as:
tanA = √(sec2A -1)
cosec A can be expressed in the form of sec A as:
cosec A =
= 1/√sin2A
=1/√(1 –cos2A)
=sec A/√(sec2A -1)
Cot A can be expressed in terms of sec A as:
cot A =
=1/(√tan2)
= 1/√(sec2A -1)
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